Publication Date: 2007
ISBN: 978-3-540-71225-1
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Although, bifurcation theory of equations with autonomous and periodic time dependence is a major object of research in the study of dynamical systems since decades, the notion of a nonautonomous bifurcation is not yet established. In this book, two different approaches are developed which are based on special definitions of local attractivity and repulsivity.
Subject: Mathematics and Statistics, Nonautonomous dynamical system, attractor and repeller theory, bifurcation theory, ordinary differential equation, qualitative theory